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                [Cerc2012]Jewel heist                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p>擅长偷盗的卢平想要偷走邪恶的欧文收藏的珠宝。欧文在他的商店里放置了n个珠宝。每个珍贵的石头一定有着k种颜色之一的颜色。展览馆非常的大，我们可以将珠宝视为欧几里得平面上的一些互异的点。这场展览由一些非常珍贵的报警设备来保护。</p>
<div>卢平发明了一种装置：一个巨大的机械臂，可以用来抢欧文的珠宝而不被任何报警设备发现。这只机械臂可以做一次抢的操作（也仅有一次）可以将在某条水平线段及其下方的所有珠宝拿走（如图）。卢平很容易偷走所有的珠宝，但是他知道，他拿得越多就越难不被发现。他决定选择一种安全的方案，他拿走的珠宝的颜色数不会超过k。</div>
<div>&nbsp;<img src="../file/4062_0.jpg" width="344" height="288" alt="" /></div>
<div>请你计算他在不拿走所有颜色的情况下最多拿多少个珠宝。</div></p><hr/><h3>输入格式</h3><p><p>&nbsp;第一行一个正整数T，表示有T组数据。</p>
<div>每组数据第一行两个正整数n和k，表示珠宝数量和颜色数量，2 &lt;= n &lt;= 200000, 2 &lt;= k &lt;= n。</div>
<div>接下来n行，每行三个整数x_j, y_j, c_j，表示第j个珠宝在(x_j, y_j)的位置，颜色为c_j，1 &lt;= x_j, y_j &lt;= 10^9, 1 &lt;= c_j &lt;= k。</div>
<div>你可以认为每种颜色至少有一个珠宝。</div></p><hr/><h3>输出格式</h3><p><p>对于每组数据输出一行，即最大的可能偷走的珠宝数量。</p></p><hr/><h3>样例输入</h3><pre>1
10 3
1 2 3
2 1 1
2 4 2
3 5 3
4 4 2
5 1 2
6 3 1
6 7 1
7 2 3
9 4 2 
</pre><hr/><h3>样例输出</h3><pre>5
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>鸣谢Tjz</p>
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